Theoretical Cant in Railways Calculator

✖Equilibrium cant is the amount by which one rail is raised above the other rail in equilibrium.ⓘ Equilibrium Cant [e_Cant]			+10% -10%
✖Cant Deficiency is the difference between the actual cant provided and equilibrium cant necessary for the maximum permissible speed on a curve.ⓘ Cant Deficiency [D_Cant]			+10% -10%

✖Theoretical Cant is the amount by which one rail is raised above the other rail.ⓘ Theoretical Cant in Railways [e_th]

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Theoretical Cant in Railways

Formula

`"e"_{"th"} = "e"_{"Cant"}+"D"_{"Cant"}`

Example

`"16.25cm"="11.25cm"+"5cm"`

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Theoretical Cant in Railways Solution

STEP 0: Pre-Calculation Summary

Formula Used

Theoretical Cant = Equilibrium Cant+Cant Deficiency
e_th = e_Cant+D_Cant
This formula uses 3 Variables

Variables Used

Theoretical Cant - (Measured in Centimeter) - Theoretical Cant is the amount by which one rail is raised above the other rail.
Equilibrium Cant - (Measured in Centimeter) - Equilibrium cant is the amount by which one rail is raised above the other rail in equilibrium.
Cant Deficiency - (Measured in Centimeter) - Cant Deficiency is the difference between the actual cant provided and equilibrium cant necessary for the maximum permissible speed on a curve.

STEP 1: Convert Input(s) to Base Unit

Equilibrium Cant: 11.25 Centimeter --> 11.25 Centimeter No Conversion Required
Cant Deficiency: 5 Centimeter --> 5 Centimeter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

e_th = e_Cant+D_Cant --> 11.25+5

Evaluating ... ...

e_th = 16.25

STEP 3: Convert Result to Output's Unit

0.1625 Meter -->16.25 Centimeter (Check conversion here)

FINAL ANSWER

16.25 Centimeter <-- Theoretical Cant

(Calculation completed in 00.004 seconds)

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Created by Adnan H Kotawala

R V College of Engineering (RVCE), Bangalore

Adnan H Kotawala has created this Calculator and 25+ more calculators!

Verified by Rachana B V

The National Institute of Engineering (NIE), Mysuru

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< 12 Geometric Design of Railway Track Calculators

Weighted Average of Different Trains at Different Speeds

Go Weighted Average Speed = (Number of Trains with Speed 1*Speed of Trains Moving with Same Speed 1+Number of Trains with Speed 2*Speed of Trains Moving with Same Speed 2+Number of Trains with Speed 3*Speed of Trains Moving with Same Speed 3+Number of Trains with Speed 4*Speed of Trains Moving with Same Speed 4)/(Number of Trains with Speed 1+Number of Trains with Speed 2+Number of Trains with Speed 3+Number of Trains with Speed 4)

Equilibrium Cant in Railways

Go Equilibrium Cant in Railways = Gauge of Track*Speed of Vehicle on Track^2/(127*Radius of Curve)

Shift in Railways for Cubic Parabola

Go Shift in Railways in Cubic parabola = Length of Transition Curve in meters^2/(24*Radius of Curve)

Equilibrium Cant for NG

Go Equilibrium Cant for Narrow Gauge = 0.762*Speed of Vehicle on Track^2/(127*Radius of Curve)

Equilibrium Cant for BG

Go Equilibrium Cant for Broad Gauge = 1.676*Speed of Vehicle on Track^2/(127*Radius of Curve)

Equilibrium Cant for MG

Go Equilibrium Cant for Meter Gauge = 1.000*Speed of Vehicle on Track^2/(127*Radius of Curve)

Cant Deficiency for given Maximum Theoretical Cant

Go Cant Deficiency = Maximum Theoretical Cant-Maximum Equilibrium Cant

Maximum Theoretical Cant in Railways

Go Maximum Theoretical Cant = Maximum Equilibrium Cant+Cant Deficiency

Radius for given Degree of Curve in Railways

Go Radius of Curve = (1720/Degree of Curve for Railways)*(pi/180)

Degree of Curve in Railways

Go Degree of Curve for Railways = (1720/Radius of Curve)*(pi/180)

Cant Deficiency for given Theoretical Cant

Go Cant Deficiency = Theoretical Cant-Equilibrium Cant

Theoretical Cant in Railways

Go Theoretical Cant = Equilibrium Cant+Cant Deficiency

Theoretical Cant in Railways Formula

Theoretical Cant = Equilibrium Cant+Cant Deficiency
e_th = e_Cant+D_Cant

Theoretical cant in railways

The Theoretical cant in railways is defined as the Theoretical difference between the height of the outer rail and the inner rail on a curve. Cant excess occurs when a train travels around a curve at a speed lower than the equilibrium speed.

How to Calculate Theoretical Cant in Railways?

Theoretical Cant in Railways calculator uses Theoretical Cant = Equilibrium Cant+Cant Deficiency to calculate the Theoretical Cant, Theoretical Cant in Railways is defined as the theoretical difference between the height of the outer rail and the inner rail on a curve. Theoretical Cant is denoted by e_th symbol.

How to calculate Theoretical Cant in Railways using this online calculator? To use this online calculator for Theoretical Cant in Railways, enter Equilibrium Cant (e_Cant) & Cant Deficiency (D_Cant) and hit the calculate button. Here is how the Theoretical Cant in Railways calculation can be explained with given input values -> 1625 = 0.1125+0.05.

FAQ

What is Theoretical Cant in Railways?

Theoretical Cant in Railways is defined as the theoretical difference between the height of the outer rail and the inner rail on a curve and is represented as e_th = e_Cant+D_Cant or Theoretical Cant = Equilibrium Cant+Cant Deficiency. Equilibrium cant is the amount by which one rail is raised above the other rail in equilibrium & Cant Deficiency is the difference between the actual cant provided and equilibrium cant necessary for the maximum permissible speed on a curve.

How to calculate Theoretical Cant in Railways?

Theoretical Cant in Railways is defined as the theoretical difference between the height of the outer rail and the inner rail on a curve is calculated using Theoretical Cant = Equilibrium Cant+Cant Deficiency. To calculate Theoretical Cant in Railways, you need Equilibrium Cant (e_Cant) & Cant Deficiency (D_Cant). With our tool, you need to enter the respective value for Equilibrium Cant & Cant Deficiency and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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